Least Common Multiple of 52/469, 361/369, 528/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/469, 361/369, 528/755 quickly i.e. 2477904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/469, 361/369, 528/755 is 2477904.

LCM(52/469, 361/369, 528/755) = 2477904

LCM of 52/469, 361/369, 528/755

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 52/469,361/369,528/755

Given numbers are 52/469,361/369,528/755

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 52,361,528

Least Common Multiple of Numerators i.e. LCM of 52,361,528 is 2477904.

GCF of Denominators means GCF of 469,369,755 as per the given fractions.

GCF of 469,369,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,361,528

LCM of Fractions 52/469,361/369,528/755 is 2477904

2 52, 361, 528
2 26, 361, 264
13, 361, 132

∴ So the LCM of the given numbers is 2 x 2 x 13 x 361 x 132 = 2477904

Least Common Multiple of 52,361,528 with GCF Formula

Least Common Multiple of 52,361,528 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 52,361,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,361,528) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,361,528) x common factors =1 x 4 = 4

LCM(52,361,528) = ( 52 × 361 × 528 ) / 4

LCM(52,361,528) = 9911616 / 4

LCM(52,361,528) = 2477904


Lets's calculate GCF of 469,369,755

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2477904/1

Therefore the LCM of Fractions 52/469,361/369,528/755 is 2477904

Greatest Common Factor of 469,369,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,369,755 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 469,369,755 . The biggest common factor number is the GCF number.
So the greatest common factor 469,369,755 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 52/469, 361/369, 528/755

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 52/469, 361/369, 528/755?

Answer: LCM of Numerators as per given numbers 52/469, 361/369, 528/755 is

LCM of Numerators i.e. for 52,361,528 is 2477904

GCF of denominators i.e. for 469,369,755 is 1.

Thus, LCM of Fractions is 2477904.Finally, LCM of Fractions for 52/469, 361/369, 528/755 is 2477904.